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Finding the Fourth Proportional to 16,447.89, 24,668.30 and 5,204.12

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Solution

The fourth proportional to 16,447.89, 24,668.30 and 5,204.12 is: 7,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.89 : 24,668.30 = 5,204.12 : x
  2. Step 2: Convert to fraction form
    16,447.89/24,668.30 = 5,204.12/x
  3. Step 3: Cross multiply
    16,447.89x = 24,668.30 × 5,204.12
  4. Step 4: Simplify right side
    16,447.89x = 128,376,793.40
  5. Step 5: Solve for x
    x = 128,376,793.40/16,447.89
  6. Step 6: Final answer
    x = 7,805.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.